Acosta Cervantes, Mary C.

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Towards optimization by similarity: finding windows of maximal similarity
(2016) Acosta Cervantes, Mary C.; Cabrera Ríos, Mauricio; College of Engineering; Cesaní Vázquez, Viviana I.; Rivera Santiago, Roberto; Department of Industrial Engineering; Torres, Pedro
This work proposes a method which uses a Window of Maximum Similarity (WMS) to find a region of similarity between two responses, one of them with known and desirable characteristics. The WMS method is one of minimization of squared errors and can be used to explore experimentally or pseudo-experimentally generated data to find at least a WMS. This method is a viable element that will serve for the future development of the Optimization by Similarity method. The progressive development of the WMS method and a series of examples are presented to show its feasibility and capability for generating a two-dimensional WMS. Data from real time series served as a basis to generate a one-dimensional WMS. Given that this work corresponds to the initial development of the proposed method, we believe that the results obtained signals to a useful tool for data exploration of interest to detect zones with distinctive patterns.